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Infinite number of conditions for local mixed state manipulations

Gilad Gour
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Abstract

It is shown that a finite number of conditions are {\em not} sufficient to determine the locality of transformations between two probability distributions of pure states as well as the locality of transformations between two $d\times d$ mixed states with $d\geq 4$. As an example, an infinite, but minimal, set of necessary and sufficient conditions for the existence of a local procedure that converts one probability distribution of two pure pair of qubits into another one is found.

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Gilad Gour. 2005-08-26. Infinite number of conditions for local mixed state manipulations. https://doi.org/10.1103/physreva.72.022323

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